Koh, Andrew (2008) Nash Equilibria, collusion in games and the coevolutionary particle swarm algorithm. In: Filipic, B. and Silc, J., (eds.) Bioinspired Optimization Methods and their Applications. Third International Conference on Bioinspired Optimization Methods and their Applications (BIOMA 2008), 13-14 October 2008, Jozef Stefan Institute, Ljublana, Slovenia. Jozef Stefan Institute , Slovenia , pp. 19-28. ISBN 978-961-264-002-6
Available under licence : See the attached licence file.
In recent work, we presented a deterministic algorithm to investigate collusion between players in a game where the players’ payoff functions are subject to a variational inequality describing the equilibrium of a transportation system. In investigating the potential for collusion between players, the diagonalization algorithm returned a local optimum. In this paper, we apply a coevolutionary particle swarm optimization (PSO) algorithm developed in earlier research in an attempt to return the global maximum. A numerical experiment is used to verify the performance of the algorithm in overcoming local optimum.
|Item Type:||Proceedings Paper|
|Keywords:||Nash Equilibrium, Equilibrium Problems with Equilibrium Constraints, Diagonalisation, Bilevel Variational Inequality|
|Institution:||The University of Leeds|
|Academic Units:||The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds)|
|Depositing User:||MR ANDREW KOH|
|Date Deposited:||13 Feb 2009 15:49|
|Last Modified:||08 Feb 2013 17:06|
|Publisher:||Jozef Stefan Institute|